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Finding the Third Proportional to 205,385,061.75 and 456,691,291.50

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Solution

The third proportional to 205,385,061.75 and 456,691,291.50 is: 1,015,492,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,385,061.75 : 456,691,291.50 = 456,691,291.50 : x
  2. Step 2: Convert to fraction form
    205,385,061.75/456,691,291.50 = 456,691,291.50/x
  3. Step 3: Cross multiply
    205,385,061.75x = 456,691,291.50 × 456,691,291.50
  4. Step 4: Simplify right side
    205,385,061.75x = 208,566,935,731,937,984
  5. Step 5: Solve for x
    x = 208,566,935,731,937,984/205,385,061.75
  6. Step 6: Final answer
    x = 1,015,492,236.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.